The first one, in Section , recalls the basic definitions and results about rough path theory. The main idea of this part is a developpement of an idea of [1]}, and consists of proving an equivalence for the uniqueness of solution (in the sense of Davie) of the rough differential equation (REF ) with the uniqueness of the solution to the standard ODE
\(y^{\prime }(t) = D\varphi _t\big (y(t)\big )^{-1} b\big (\varphi _t(y(t)\big ),\) 
